Naina bought some goods worth rs.10,000/- and while selling half of them incurred a loss of 25%. at what profit percent must she sell the rest of them so as to make a total profit of 30% ?
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Total cost price = Rs. 10000
Cost Price of half of the goods = 10000/2 = Rs. 5000
Total S. P. for the profit of 30 % = (10000*130)/100
= Rs. 13000
Amount of loss on selling half of the goods = (5000*25)/100
= Rs. 1250
S.P. of the half of the goods which sold on 25 % loss = Rs. 5000 - Rs. 1250
= Rs. 3750
Required Selling Price of the remaining goods = 13000 - 3750
= Rs. 9250
Required Gain = 9250 - 5000
= Rs. 4250
Required gain percent = (Profit*100)/Cost Price
= (4250*100)/5000
= 85 %
So, to get a gain of 30 % on the whole transaction, she needs to sell the remaining goods at 85 %.
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